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Finding the Fourth Proportional to 524.16, 787.14 and 501.08

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Solution

The fourth proportional to 524.16, 787.14 and 501.08 is: 752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 787.14 = 501.08 : x
  2. Step 2: Convert to fraction form
    524.16/787.14 = 501.08/x
  3. Step 3: Cross multiply
    524.16x = 787.14 × 501.08
  4. Step 4: Simplify right side
    524.16x = 394,416.18
  5. Step 5: Solve for x
    x = 394,416.18/524.16
  6. Step 6: Final answer
    x = 752.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.